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Finding the Fourth Proportional to 550,218.30, 825,327.45 and 314,022.30

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Solution

The fourth proportional to 550,218.30, 825,327.45 and 314,022.30 is: 471,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,218.30 : 825,327.45 = 314,022.30 : x
  2. Step 2: Convert to fraction form
    550,218.30/825,327.45 = 314,022.30/x
  3. Step 3: Cross multiply
    550,218.30x = 825,327.45 × 314,022.30
  4. Step 4: Simplify right side
    550,218.30x = 259,171,224,102.14
  5. Step 5: Solve for x
    x = 259,171,224,102.14/550,218.30
  6. Step 6: Final answer
    x = 471,033.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.